1. CAN - Ability, doubt, astonishment, permission, Polite request
I can play the football.
Can I go out tonight?
2.MAY - Permission, if not prohibition, supposition with doubt
It may rain tomorrow.
May I go to the bathroom?
3. MUST - Obligation, firm necessity, logical conclusion, probability
He must be her brother.
You must study today.
4. SHALL - intention, supposition
You shall pay on Saturday.
Shall I help you?
5. WILL - Wish, desire, will, confidence, in the future
I will give you a gift.
I have asked him but he will not come.
6. OUGHT TO - Moral duty, insistent advice, strict recommendation
I ought not to go out today.
You oughn’t to tell lies.
7. NEED - (un)necessity
I need to talk to her.
You needn’t buy a gift for me.
8. BE TO - Obligation arising out of arrangement or agreement
9. HAVE TO -Unwillingness, forced circumtances
I have to wait.
10. WOULD - Wish (with “to like”), polite request, a habit of the past
I would play the tennis when I was a child.
How about going to the circus tonight? It would so funny.
We are going to breakfast. Would you come? Yes, I would.